LNQD样本最近邻密度估计的相合性  

Consistency of Nearest Neighbor Estimation of Density Function for Linearly Negative Quadrant Dependent Samples

作　　者：崔永君[1] 杨善朝[1] 梁丹[1] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004

出　　处：《广西师范大学学报（自然科学版）》2012年第2期59-65,共7页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11061007);广西自然科学基金资助项目(2011GXNSFA018133)

摘　　要：本文在LNQD样本下研究最近邻密度估计的相合性,给出弱相合性、强相合性、一致强相合性以及它们的收敛速度的充分条件,同时研究了失效率函数估计的一致强相合性。The consistency of nearest density estimator for linearly negative quadrant dependent samples is discussed. Some sufficient conditions for week consistency, strong consistency, uniformly strong consistency and consistent rates are given. At the same time ,the uniformly strong consistency of the hazard rate estimation is researched in this paper.

关 键 词：LNQD序列 最近邻密度估计 相合性 

分 类 号：O212.7[理学—概率论与数理统计]